Archive for October, 2009

Here’s some advice from a physicist who has spent years on the committee that makes up GRE questions. It’s mostly very good, which is in no way related to the fact that it mostly coincides with advice I’ve tried to give students over the years. He believes more than I do in the validity of the GRE as a test of something useful, but that’s OK.

One nice thing about academic life is that you get to go on sabbatical from time to time. The trick is to play your cards right and make sure you have collaborators in nice places when the time comes. I managed to do this pretty well, which is why I’m spending almost three months in Paris.

It’s a great idea. I hope more cities adopt things like this. It’s way more fun than getting around on the Metro (and I say this as someone who kind of likes riding on the Metro).

Americans I’ve told about this ask me whether I’m scared of biking in the Paris traffic. The answer is a definite no. I haven’t done much urban biking since the mid-90’s, but I used to do it a lot then, when I was a grad student in Berkeley. I don’t find biking in Paris to be significantly more dangerous or stressful than biking in Berkeley was. Sure, you’ve got to pay attention, but in a lot of ways it’s a very bike-friendly city:

There are lots of bike lanes.

At least for the routes I’ve been traveling, I can arrange things so that, most of the time, I’m not biking past parallel-parked cars. That’s really important: I think that car doors opening suddenly in front of you has got to be the biggest hazard of urban biking. Most of the bike accidents I knew of when I lived in Berkeley were in this category.

So if you’re spending time in Paris, don’t be scared — try it out! (Litigiousness paranoia disclaimer: You ride at your own risk. If you take my advice and get into an accident, it’s not my fault — don’t sue me!)

It’s actually not easy to do it as an American. To subscribe to the system, you either have to have a French bank account or a European-style credit card with a chip in it. Rumor has it that American Express cards work, but I can’t confirm this. I eventually had to get a colleague who lives here to launder the transaction.

The pickup and dropoff spots are all automated, of course. They have a fixed number of spots, and if one is full, you can’t drop off your bike there. (And of course, if it’s empty, you can’t pick up a bike there.) But the kiosk at the station will show you a map of nearby stations that do have space / bikes. You usually don’t have to go far. And if you’re getting near the end of your half-hour, and you come to a station that’s full, it’ll give you free extra time to get to another station.

As you can imagine, maintenance of the bikes is tricky. Sometimes, you’ll get one out that has a problem (you can see a clear example in the top picture above). Savvy riders check out the bikes before taking one out, but you can always miss something. For instance, the one I took to work this morning won’t stay in third gear unless you hang onto the gearshift — I couldn’t have found that out before selecting it. If there is a problem, you can just check it back in and get another. One thing the system seems to be missing: as far as I can tell, there’s no way for the user to flag a bike as having some sort of maintenance problem. I’d think they’d want to implement that.

John Tierney writes about Martin Gardner, the great mathematical-puzzle writer. I went through a huge Martin Gardner phase in my misspent youth, as I suspect did many other scientists and mathematicians.

Gardner’s best known for his Mathematical Games column in Scientific American. When he stopped writing it in the early 1980s, the slot was taken over by Douglas Hofstadter. I loved Hofstadter’s GÃ¶del, Escher, Bach (again, probably lots of scientists, especially those about my age, would say the same), but I don’t remember liking his column at all.

As long as I’m free-associating here, there’s one more author of puzzle books that I remember loving when I was a kid: Raymond Smullyan. He’s an actual academic mathematician (unlike Gardner), but I know him only as the writer of logic puzzles. See, for example, the Hardest Logic Puzzle Ever. For those who went through a Smullyanesque logic puzzle phase and remember some of the tricks, this puzzle is hard but doable. If you didn’t, then yes, it’s probably extremely hard.

I guess this piece in the NY Times has been getting some attention lately. It’s about a crazy theory by Nelson and Ninomiya (NN for short) in which the laws of physics don’t “want” the Higgs boson to be created. According to this theory, states of the Universe in which lots of Higgses are created are automatically disfavored: if there are multiple different ways something can turn out, and one involves creating Higgses, then it’ll turn out some other way. Since the Large Hadron Collider is going to attempt to find the Higgs, this theory predicts that things will happen to it so that it fails to do so.

Sean Carroll has a nice exegesis of this. I urge you to go read it if you’re curious about this business. There’s a bit in the middle that explains the theory in a bit more detail than you might like (unless of course you like that sort of thing). If you find yourself getting bogged down when he talks about “imaginary action” and the like, just skip ahead a few paragraphs to about here:

So this model makes a strong prediction: we're not going to be producing any Higgs bosons. Not because the ordinary dynamical equations of physics prevent it (e.g., because the Higgs is just too massive), but because the specific trajectory on which the universe finds itself is one in which no Higgses are made.

That, of course, runs into the problem that we have every intention of making Higgs bosons, for example at the LHC. Aha, say NN, but notice that we haven't yet! The Superconducting Supercollider, which could have found the Higgs long ago, was canceled by Congress. And in their December 2007 paper €” before the LHC tried to turn on €” they very explicitly say that a "natural" accident will come along and break the LHC if we try to turn it on. Well, we know how that turned out.

I think Sean’s overall point of view is pretty much right:

At the end of the day: this theory is crazy. There's no real reason to believe in an imaginary component to the action with dramatic apparently-nonlocal effects, and even if there were, the specific choice of action contemplated by NN seems rather contrived. But I'm happy to argue that it's the good kind of crazy. The authors start with a speculative but well-defined idea, and carry it through to its logical conclusions. That's what scientists are supposed to do. I think that the Bayesian prior probability on their model being right is less than one in a million, so I'm not going to take its predictions very seriously. But the process by which they work those predictions out has been perfectly scientific.

Because I’m obsessed with Bayesian probabilities, I want to pick up a bit on that aspect of things. NN propose an experiment to test their theory. We take a million-card deck of cards, in which one says “Don’t turn on the LHC.” We pick a card at random from the deck, and if we get that one card, we junk the LHC. Otherwise, we go ahead and search for the Higgs as planned. According to NN, if their theory is right, that card will come up because the Universe will want to “protect itself” from Higgses.

I don’t think I buy this, though. I don’t think there’s any circumstance in which this proposed experiment will provide a good test of NN’s theory. To see why, we have to dig into the probabilities a bit.

Suppose that the Bayesian prior probability of NN’s theory being true (that is, our estimate of the probability before doing any tests) is p(NN). As Sean notes, p(NN) is a small number. Also, let p(SE) be the probability that Something Else (a huge fire, an earthquake, whatever) destroys the LHC before it finds the Higgs. Finally, let p(C) be the probability that we draw the bad card when we try the experiment. We get to choose p(C), of course, simply by choosing the number of cards in the deck. So how small should we make it? There are two constraints:

We have to choose p(C) to be larger than p(SE). Otherwise, presumably, even if NN’s theory is true, the Universe is likely to save itself from the Higgs simply by causing the fire, so the card experiment is unlikely to tell us anything.

We have to choose p(C) to besmaller than p(NN). The idea here is that if p(C) is too large, then our level of surprise when we pick that one card isn’t great enough to overcome our initial skepticism. That is, we still wouldn’t believe NN’s theory even after picking the card. Intuitively, I hope it makes sense that there must be such a constraint — if we did the experiment with 10 cards, it wouldn’t convince anyone! The fact that the constraint is that p(C)<p(NN) comes from a little calculation using Bayes’s theorem. Pester me if you want details.

In order for it to be possible to design an experiment that meets both of these constraints, we need p(SE)<p(NN). That is, we need to believe, right now, that NN’s crazy theory is more likely than the union of all of the possible things that could go catastrophically wrong at the LHC. Personally, I think that’s extremely far from being the case,which means that NN’s proposed test of their theory is impossible even in principle.

(Constraint 1 already makes the experiment impossible in practice: it says that we have to take a risk with the LHC that is greater than all the other risks. Good luck getting the hundreds of people whose careers are riding on the LHC to assume such a risk.)

My colleagues and I just submitted a paper about some of the technical issues associated with QUBIC, the new bolometric interferometer we’re trying to build for measuring the polarization of the microwave background. In case you care, QUBIC stands for Q/U Bolometric Interferometer for Cosmology (and Q and U are the symbols for the two Stokes parameters that characterize linear polarization). QUBIC is the merger of MBI (from the US) and BRAIN (from Europe). It’s what I’m here in Paris working on.

The paper addresses one concern that many people, both within the collaboration and outside, have worried about. Traditionally, interferometers are narrow-band instruments — that is, they look at radiation within just a narrow range of wavelengths. There’s a good reason for that: the whole idea of interferometry is to produce interference patterns out of the waves, and interference patterns get washed out when you have a wide range of wavelengths. The instrument we’re proposing to build is a broadband interferometer, so there is naturally some worry about how or whether it’ll work. We’ve made some general arguments before trying to quantify how much of a problem this’ll be. This paper goes beyond those general arguments to lay out a detailed calculation showing that bandwidth issues don’t degrade the performance of the instrument too badly.

Even more than a lot of academic papers, this one is really aimed at specialists. If you’re not interested in the details of CMB interferometry, it’s not for you.

then get an academic job in France. They make you write and defend another thesis, after the Ph.D. It’s called the habilitation Ã diriger des recherches (HDR), which I guess means “qualification to direct research.” As I understand it (i.e., not very well), you need to get it before you’re allowed to supervise Ph.D. students. My colleague here in Paris just had his today. He’s actually supervised Ph.D. students before, so it must be possible to get around that requirement, but I guess you need to get this certification to climb the academic ladder.

At first this sounded kind of cruel to me, but actually, I’d gladly have signed up to write another dissertation rather than go through the tenure process at U.R.

From time to time in the past, I’ve given my intro astronomy class the following assignment: Listen to Why Does the Sun Shine, by They Might Be Giants, and critique it for accuracy. The answer is that it’s mostly very accurate, but there are a couple of things it gets wrong.

I learned about this via the radio show/podast Radio Lab. One of their recent podcasts was all about TMBG and their new album of science songs for kids. (The part about the Sun starts at about 12:15, but it won’t kill you to listen to the whole thing.)

(In case any of my future astronomy students are reading this, the correction song reveals only one of the two things wrong with the original song; the Radio Lab interview reveals the other.)